The density of the meet-inaccessible r. e. degrees

Journal of Symbolic Logic 57 (2):585-596 (1992)
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Abstract

In this paper it is shown that the meet-inaccessible degrees are dense in R. The construction uses an 0''-priority argument. As a consequence, the meet-inaccessible degrees and the meet-accessible degrees give a partition of R into two sets, either of which is a nontrivial dense subset of R and generates R - {0} under joins (thus an automorphism base of R)

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